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In this paper, we consider effective discretization strategies and iterative solvers for nonlinear PDE-constrained optimization models for pattern evolution within biological processes. Upon a Sequential Quadratic Programming linearization…

Numerical Analysis · Mathematics 2024-08-28 Karolína Benková , John W. Pearson , Mariya Ptashnyk

We describe a general-purpose method for finding high-quality solutions to hard optimization problems, inspired by self-organized critical models of co-evolution such as the Bak-Sneppen model. The method, called Extremal Optimization,…

Optimization and Control · Mathematics 2007-05-23 Stefan Boettcher , Allon G. Percus

Evolutionarily stable strategy (ESS) is an important solution concept in game theory which has been applied frequently to biological models. Informally an ESS is a strategy that if followed by the population cannot be taken over by a…

Computer Science and Game Theory · Computer Science 2019-01-18 Sam Ganzfried

A new model for evolving Evolutionary Algorithms (EAs) is proposed in this paper. The model is based on the Multi Expression Programming (MEP) technique. Each MEP chromosome encodes an evolutionary pattern that is repeatedly used for…

Neural and Evolutionary Computing · Computer Science 2021-10-13 Mihai Oltean

The notion of an Evolutional Deep Neural Network (EDNN) is introduced for the solution of partial differential equations (PDE). The parameters of the network are trained to represent the initial state of the system only, and are…

Computational Physics · Physics 2021-10-13 Yifan Du , Tamer A. Zaki

Gradient-based optimization has been critical to the success of machine learning, updating a single set of parameters to minimize a single loss. A growing number of applications rely on a generalization of this, where we have a bilevel or…

Machine Learning · Computer Science 2024-07-02 Jonathan Lorraine

Black-box policy optimization is a class of reinforcement learning algorithms that explores and updates the policies at the parameter level. This class of algorithms is widely applied in robotics with movement primitives or…

Machine Learning · Computer Science 2022-03-22 Marius Memmel , Puze Liu , Davide Tateo , Jan Peters

We introduce a new family of deep neural network models. Instead of specifying a discrete sequence of hidden layers, we parameterize the derivative of the hidden state using a neural network. The output of the network is computed using a…

Machine Learning · Computer Science 2019-12-17 Ricky T. Q. Chen , Yulia Rubanova , Jesse Bettencourt , David Duvenaud

Parameter control aims at realizing performance gains through a dynamic choice of the parameters which determine the behavior of the underlying optimization algorithm. In the context of evolutionary algorithms this research line has for a…

Neural and Evolutionary Computing · Computer Science 2020-11-10 Benjamin Doerr , Carola Doerr

We develop a novel computational framework to approximate solution operators of evolution partial differential equations (PDEs). By employing a general nonlinear reduced-order model, such as a deep neural network, to approximate the…

Numerical Analysis · Mathematics 2023-11-13 Nathan Gaby , Xiaojing Ye , Haomin Zhou

In recent years, the researches about solving partial differential equations (PDEs) based on artificial neural network have attracted considerable attention. In these researches, the neural network models are usually designed depend on…

Neural and Evolutionary Computing · Computer Science 2024-05-21 Bo Zhang , Chao Yang

In both natural and artificial studies, evolution is often seen as synonymous to natural selection. Individuals evolve under pressures set by environments that are either reset or do not carry over significant changes from previous…

Populations and Evolution · Quantitative Biology 2023-05-17 Eleni Nisioti , Clément Moulin-Frier

Neuroevolution has greatly promoted Deep Neural Network (DNN) architecture design and its applications, while there is a lack of methods available across different DNN types concerning both their scale and performance. In this study, we…

Neural and Evolutionary Computing · Computer Science 2023-02-03 Zhenhao Shuai , Hongbo Liu , Zhaolin Wan , Wei-Jie Yu , Jun Zhang

Deep neural networks are effective feature extractors but they are prohibitively large for deployment scenarios. Due to the huge number of parameters, interpretability of parameters in different layers is not straight-forward. This is why…

Computation and Language · Computer Science 2021-12-23 Saeed Damadi

Most decision tree induction algorithms are based on a greedy top-down recursive partitioning strategy for tree growth. In this paper, we propose several methods for induction of decision trees and their ensembles based on evolutionary…

Neural and Evolutionary Computing · Computer Science 2020-02-04 Evgeny Dolotov , Nikolai Zolotykh

Evolution gave rise to creatures that are arguably more sophisticated than the greatest human-designed systems. This feat has inspired computer scientists since the advent of computing and led to optimization tools that can evolve complex…

Neural and Evolutionary Computing · Computer Science 2020-12-23 Jean-Baptiste Mouret

Dynamic Optimization Problems (DOPs) are challenging to address due to their complex nature, i.e., dynamic environment variation. Evolutionary Computation methods are generally advantaged in solving DOPs since they resemble dynamic…

Neural and Evolutionary Computing · Computer Science 2026-02-02 Zijian Gao , Yuanting Zhong , Zeyuan Ma , Yue-Jiao Gong , Hongshu Guo

Differential Evolution (DE) is a renowned optimization stratagem that can easily solve nonlinear and comprehensive problems. DE is a well known and uncomplicated population based probabilistic approach for comprehensive optimization. It has…

Neural and Evolutionary Computing · Computer Science 2015-06-22 Sandeep Kumar , Vivek Kumar Sharma , Rajani Kumari

In [1], we have explored the theoretical aspects of feature selection and evolutionary algorithms. In this chapter, we focus on optimization algorithms for enhancing data analytic process, i.e., we propose to explore applications of…

Machine Learning · Computer Science 2019-08-26 Farid Ghareh Mohammadi , M. Hadi Amini , Hamid R. Arabnia

Diffusion Models represent a significant advancement in generative modeling, employing a dual-phase process that first degrades domain-specific information via Gaussian noise and restores it through a trainable model. This framework enables…

Neural and Evolutionary Computing · Computer Science 2024-11-21 Benedikt Hartl , Yanbo Zhang , Hananel Hazan , Michael Levin
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